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- Barotropic_vorticity_equation abstract "This Barotropic vorticity equation assumes the atmosphere is nearly barotropic, which means that the direction and speed of the geostrophic wind are independent of height. In other words, there is no vertical wind shear of the geostrophic wind. It also implies that thickness contours (a proxy for temperature) are parallel to upper level height contours. In this type of atmosphere, high and low pressure areas are centers of warm and cold temperature anomalies. Warm-core highs (such as the subtropical ridge and Bermuda-Azores high) and cold-core lows have strengthening winds with height, with the reverse true for cold-core highs (shallow arctic highs) and warm-core lows (such as tropical cyclones).A simplified form of the vorticity equation for an inviscid, divergence-free flow (solenoidal velocity field), the barotropic vorticity equation can simply be stated aswhere is the material derivative andis absolute vorticity, with being relative vorticity, defined as the vertical component of the curl of the fluidvelocity and f is the Coriolis parameterwhere is the angular frequency of the planet'srotation (=0.7272*10−4 s−1 for the earth) and is latitude.In terms of relative vorticity, the equation can be rewritten aswhere is the variation of the Coriolis parameter with distance in the north-south directionand is the component of velocity in this direction.In 1950, Charney, Fjørtoft, and von Neumann integrated this equation (with an added diffusion term on the RHS) on a computer for the first time, using an observed field of 500 hPa geopotential height for the first timestep.[citation needed] This was one of the first successful instances of numerical weather prediction.".
- Barotropic_vorticity_equation wikiPageExternalLink BarVor.html.
- Barotropic_vorticity_equation wikiPageID "166354".
- Barotropic_vorticity_equation wikiPageRevisionID "583981823".
- Barotropic_vorticity_equation hasPhotoCollection Barotropic_vorticity_equation.
- Barotropic_vorticity_equation subject Category:Equations_of_fluid_dynamics.
- Barotropic_vorticity_equation type Abstraction100002137.
- Barotropic_vorticity_equation type Communication100033020.
- Barotropic_vorticity_equation type Equation106669864.
- Barotropic_vorticity_equation type EquationsOfFluidDynamics.
- Barotropic_vorticity_equation type MathematicalStatement106732169.
- Barotropic_vorticity_equation type Message106598915.
- Barotropic_vorticity_equation type Statement106722453.
- Barotropic_vorticity_equation comment "This Barotropic vorticity equation assumes the atmosphere is nearly barotropic, which means that the direction and speed of the geostrophic wind are independent of height. In other words, there is no vertical wind shear of the geostrophic wind. It also implies that thickness contours (a proxy for temperature) are parallel to upper level height contours. In this type of atmosphere, high and low pressure areas are centers of warm and cold temperature anomalies.".
- Barotropic_vorticity_equation label "Barotropic vorticity equation".
- Barotropic_vorticity_equation sameAs m.016608.
- Barotropic_vorticity_equation sameAs Q4863070.
- Barotropic_vorticity_equation sameAs Q4863070.
- Barotropic_vorticity_equation sameAs Barotropic_vorticity_equation.
- Barotropic_vorticity_equation wasDerivedFrom Barotropic_vorticity_equation?oldid=583981823.
- Barotropic_vorticity_equation isPrimaryTopicOf Barotropic_vorticity_equation.